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Finding the Fourth Proportional to 215,741.26, 323,357.72 and 97,273.90

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Solution

The fourth proportional to 215,741.26, 323,357.72 and 97,273.90 is: 145,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,741.26 : 323,357.72 = 97,273.90 : x
  2. Step 2: Convert to fraction form
    215,741.26/323,357.72 = 97,273.90/x
  3. Step 3: Cross multiply
    215,741.26x = 323,357.72 × 97,273.90
  4. Step 4: Simplify right side
    215,741.26x = 31,454,266,519.51
  5. Step 5: Solve for x
    x = 31,454,266,519.51/215,741.26
  6. Step 6: Final answer
    x = 145,796.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.